diff --git a/parquet-column/src/main/java/org/apache/parquet/schema/Types.java b/parquet-column/src/main/java/org/apache/parquet/schema/Types.java
index 2f12991ab0..82e4b96c8e 100644
--- a/parquet-column/src/main/java/org/apache/parquet/schema/Types.java
+++ b/parquet-column/src/main/java/org/apache/parquet/schema/Types.java
@@ -344,6 +344,9 @@ public abstract static class BasePrimitiveBuilder<P, THIS extends BasePrimitiveB
     private int precision = NOT_SET;
     private int scale = NOT_SET;
     private ColumnOrder columnOrder;
+    // When true and an unsupported logical/physical type combination is encountered, the
+    // annotation is dropped and the column order is forced to "undefined" so stats are ignored.
+    private boolean dropUnsupportedLogicalTypeCombinations = false;
 
     private BasePrimitiveBuilder(P parent, PrimitiveTypeName type) {
       super(parent);
@@ -426,8 +429,40 @@ public THIS columnOrder(ColumnOrder columnOrder) {
       return self();
     }
 
+    /**
+     * When set, an unsupported combination results in the logical type annotation being dropped
+     * rather than throwing. The associated statistics are also forcefully ignored by setting the
+     * column order to {@link ColumnOrderName#UNDEFINED}.
+     *
+     * @return this builder for method chaining
+     */
+    public THIS dropUnsupportedLogicalTypeCombinations() {
+      this.dropUnsupportedLogicalTypeCombinations = true;
+      return self();
+    }
+
     @Override
     protected PrimitiveType build(String name) {
+      try {
+        return validateAndBuild(name);
+      } catch (IllegalStateException e) {
+        boolean canDrop = dropUnsupportedLogicalTypeCombinations
+            && !(logicalTypeAnnotation instanceof LogicalTypeAnnotation.DecimalLogicalTypeAnnotation);
+        if (!canDrop) {
+          throw e;
+        }
+
+        LOGGER.warn(
+            "Dropping unsupported logical type annotation {} on physical type {}: {}",
+            logicalTypeAnnotation,
+            primitiveType,
+            e.getMessage());
+        return new PrimitiveType(
+            repetition, primitiveType, length, name, null, null, id, ColumnOrder.undefined());
+      }
+    }
+
+    private PrimitiveType validateAndBuild(String name) {
       if (length == 0 && logicalTypeAnnotation instanceof LogicalTypeAnnotation.UUIDLogicalTypeAnnotation) {
         length = LogicalTypeAnnotation.UUIDLogicalTypeAnnotation.BYTES;
       }
diff --git a/parquet-column/src/test/java/org/apache/parquet/schema/TestTypeBuilders.java b/parquet-column/src/test/java/org/apache/parquet/schema/TestTypeBuilders.java
index d0d00898c0..be30c7b29f 100644
--- a/parquet-column/src/test/java/org/apache/parquet/schema/TestTypeBuilders.java
+++ b/parquet-column/src/test/java/org/apache/parquet/schema/TestTypeBuilders.java
@@ -1605,4 +1605,17 @@ public void testGeographyLogicalTypeWithoutEdgeInterpolationAlgorithm() {
         Types.optional(BINARY).as(LogicalTypeAnnotation.geographyType()).named("aGeography");
     assertThat(optionalGeographyActual).isEqualTo(optionalGeographyExpected);
   }
+
+  @Test
+  public void testDropUnsupportedLogicalTypeCombinations() {
+    // Other tests already validate that unsupported type combinations throw by default, so this
+    // test only validates that the dropUnsupportedLogicalTypeCombinations flag works.
+    PrimitiveType pt = Types.required(BOOLEAN)
+        .dropUnsupportedLogicalTypeCombinations()
+        .as(LogicalTypeAnnotation.timestampType(true, MILLIS))
+        .named("bool_ts");
+    assertThat(pt.getPrimitiveTypeName()).isEqualTo(BOOLEAN);
+    assertThat(pt.getLogicalTypeAnnotation()).isNull(); // Dropped
+    assertThat(pt.columnOrder().getColumnOrderName()).isEqualTo(ColumnOrder.ColumnOrderName.UNDEFINED);
+  }
 }
diff --git a/parquet-hadoop/src/main/java/org/apache/parquet/format/converter/ParquetMetadataConverter.java b/parquet-hadoop/src/main/java/org/apache/parquet/format/converter/ParquetMetadataConverter.java
index 465516e48f..b2bb1e2f7c 100644
--- a/parquet-hadoop/src/main/java/org/apache/parquet/format/converter/ParquetMetadataConverter.java
+++ b/parquet-hadoop/src/main/java/org/apache/parquet/format/converter/ParquetMetadataConverter.java
@@ -2062,6 +2062,8 @@ private void buildChildren(
           }
           primitiveBuilder.columnOrder(columnOrder);
         }
+        // Gracefully handle unsupported logical type combinations on the read path.
+        primitiveBuilder.dropUnsupportedLogicalTypeCombinations();
         childBuilder = primitiveBuilder;
       } else {
         childBuilder = builder.group(fromParquetRepetition(schemaElement.repetition_type));
diff --git a/parquet-hadoop/src/test/java/org/apache/parquet/format/converter/TestParquetMetadataConverter.java b/parquet-hadoop/src/test/java/org/apache/parquet/format/converter/TestParquetMetadataConverter.java
index 4d361d6aa0..750ba1da6a 100644
--- a/parquet-hadoop/src/test/java/org/apache/parquet/format/converter/TestParquetMetadataConverter.java
+++ b/parquet-hadoop/src/test/java/org/apache/parquet/format/converter/TestParquetMetadataConverter.java
@@ -106,12 +106,16 @@
 import org.apache.parquet.format.GeospatialStatistics;
 import org.apache.parquet.format.LogicalType;
 import org.apache.parquet.format.MapType;
+import org.apache.parquet.format.MilliSeconds;
 import org.apache.parquet.format.PageHeader;
 import org.apache.parquet.format.PageType;
 import org.apache.parquet.format.RowGroup;
 import org.apache.parquet.format.SchemaElement;
 import org.apache.parquet.format.StringType;
+import org.apache.parquet.format.TimeUnit;
+import org.apache.parquet.format.TimestampType;
 import org.apache.parquet.format.Type;
+import org.apache.parquet.format.TypeDefinedOrder;
 import org.apache.parquet.format.Util;
 import org.apache.parquet.hadoop.ParquetReader;
 import org.apache.parquet.hadoop.ParquetWriter;
@@ -2279,4 +2283,62 @@ public void testColumnIndexNanCountsRoundTrip() {
     assertThat(roundTrip).isNotNull();
     assertThat(roundTrip.getNanCounts()).containsExactly(1L, 0L, 0L);
   }
+
+  @Test
+  public void testUnsupportedTypeCombinationDropsAnnotationAndStats() {
+    ParquetMetadataConverter converter = new ParquetMetadataConverter();
+    TimeUnit unit = new TimeUnit();
+    unit.setMILLIS(new MilliSeconds());
+    SchemaElement leaf = new SchemaElement("bool_ts")
+        .setRepetition_type(FieldRepetitionType.OPTIONAL)
+        .setType(Type.BOOLEAN)
+        .setLogicalType(LogicalType.TIMESTAMP(new TimestampType(true, unit)));
+    List<SchemaElement> parquetSchema = Lists.newArrayList(new SchemaElement("Message").setNum_children(1), leaf);
+    List<org.apache.parquet.format.ColumnOrder> columnOrders =
+        Lists.newArrayList(new org.apache.parquet.format.ColumnOrder());
+    columnOrders.get(0).setTYPE_ORDER(new TypeDefinedOrder());
+
+    MessageType schema = converter.fromParquetSchema(parquetSchema, columnOrders);
+
+    PrimitiveType result = schema.getType("bool_ts").asPrimitiveType();
+    assertThat(result.getPrimitiveTypeName()).isEqualTo(PrimitiveTypeName.BOOLEAN);
+    assertThat(result.getLogicalTypeAnnotation()).isNull();
+    assertThat(result.columnOrder().getColumnOrderName()).isEqualTo(ColumnOrder.ColumnOrderName.UNDEFINED);
+  }
+
+  private static PrimitiveType droppedAnnotationInt32() {
+    return Types.optional(PrimitiveTypeName.INT32)
+        .columnOrder(ColumnOrder.undefined())
+        .named("ts_int32");
+  }
+
+  @Test
+  public void testDroppedAnnotationIgnoresStats() {
+    ParquetMetadataConverter converter = new ParquetMetadataConverter();
+    org.apache.parquet.format.Statistics stats = new org.apache.parquet.format.Statistics();
+    stats.setMin_value(new byte[] {1, 2, 3, 4});
+    stats.setMax_value(new byte[] {0, 1, 2, 3});
+    stats.setNull_count(3L);
+
+    Statistics<?> result = converter.fromParquetStatistics(Version.FULL_VERSION, stats, droppedAnnotationInt32());
+
+    assertThat(result.hasNonNullValue()).isFalse();
+    assertThat(result.isNumNullsSet()).isTrue();
+    assertThat(result.getNumNulls()).isEqualTo(3L);
+  }
+
+  @Test
+  public void testDroppedAnnotationColumnIndexIsNull() {
+    PrimitiveType int32Type = Types.required(PrimitiveTypeName.INT32).named("i32");
+    ColumnIndexBuilder cb = ColumnIndexBuilder.getBuilder(int32Type, Integer.MAX_VALUE);
+    Statistics<?> stats = Statistics.createStats(int32Type);
+    stats.updateStats(-100);
+    stats.updateStats(100);
+    cb.add(stats, null);
+    org.apache.parquet.format.ColumnIndex parquetColumnIndex =
+        ParquetMetadataConverter.toParquetColumnIndex(int32Type, cb.build());
+
+    assertThat(ParquetMetadataConverter.fromParquetColumnIndex(droppedAnnotationInt32(), parquetColumnIndex))
+        .isNull();
+  }
 }